Study Guide — 3.NF.A.3
Explain equivalence of fractions in special cases, and compare fracti…
Fractions name equal parts of a whole — the denominator tells how many parts.
What this standard means
- Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
- Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
- Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
- Apply explain equivalence of fractions in special cases, and compare fracti… with models and explanation
_See printable PDF for diagram._
How to use the 20 practice sets
| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |
Pacing: 10–15 minutes per session.
How to practice
1. Fold paper or shade rectangles to show fractions 2. Use number lines for unit fractions 3. Compare fractions with the same denominator
_See printable PDF for diagram._
Common mistakes
- Unequal parts when partitioning
- Treating numerator and denominator as separate whole numbers
Review and practice tests
1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for 3.NF.A.3.
- [ ] Partitions shapes into equal parts
- [ ] Names unit fractions
- [ ] Compares fractions with like denominators
Materials for this standard
- Practice Problems — 20 printable sets
- Review — 10 difficulty levels
- Practice Test — 10 difficulty levels
- Answer key — for parents and tutors